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Finding the Fourth Proportional to 5,032.32, 7,547.80 and 1,913.11

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Solution

The fourth proportional to 5,032.32, 7,547.80 and 1,913.11 is: 2,869.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.32 : 7,547.80 = 1,913.11 : x
  2. Step 2: Convert to fraction form
    5,032.32/7,547.80 = 1,913.11/x
  3. Step 3: Cross multiply
    5,032.32x = 7,547.80 × 1,913.11
  4. Step 4: Simplify right side
    5,032.32x = 14,439,762.09
  5. Step 5: Solve for x
    x = 14,439,762.09/5,032.32
  6. Step 6: Final answer
    x = 2,869.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.